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Thermodynamics of gases in nano cavities
Istanbul Technical University, Energy Institute.
Istanbul Technical University, Energy Institute.ORCID iD: 0000-0002-7431-5115
Istanbul Technical University, Energy Institute.
2010 (English)In: Energy, ISSN 0360-5442, Vol. 35, p. 814-819Article in journal (Refereed) Published
Abstract [en]

In nanoscale, gas density is not really homogenous even in thermodynamic equilibrium especially ina region near to the domain boundaries due to the wave character of gas particles. This inhomogeneous region is called quantum boundary layer (QBL) since its thickness goes to zero when the Planck’s constant goes to zero. QBL can be neglected and density is assumed to be homogenous as long as thermalde Broglie wavelength (lT) of particles is negligible in comparison with the domain sizes. In nanoscale, however, this condition breaks down and QBL changes the thermodynamic behaviour of gases considerably. In literature, density distribution of a Maxwellian gas has been examined for only a rectangular domain to obtain the analytical results. In this study, density distribution is examined for some regularand irregular domain geometries for which the analytical solution is not possible. It is shown that QBL covers the whole surface of the domain and both thickness and density profile of QBL are independent ofthe domain geometry. It is concluded that QBL has a universal thickness and density profile for a Maxwellian gas. Furthermore, an effective quantum potential is introduced to explain the inhomogeneous density distribution in thermodynamic equilibrium.

Place, publisher, year, edition, pages
2010. Vol. 35, p. 814-819
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-380296OAI: oai:DiVA.org:uu-380296DiVA, id: diva2:1299076
Available from: 2019-03-26 Created: 2019-03-26 Last updated: 2019-03-26

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